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Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them? |
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Answer» Let Baichung’s father’s age be x years. Therefore, Baichung’s age and Baichung’s grandfather’s age will be (x − 29) years and (x + 26) years respectively. According to the given question, the sum of the ages of these 3 people is 135 years. ∴ x + x − 29 + x + 26 = 135 3x − 3 = 135 On transposing 3 to R.H.S, we obtain 3x = 135 + 3 3x = 138 On dividing both sides by 3, we obtain 3x/3 = 138/3 x = 46 Baichung’s father’s age = x years = 46 years Baichung’s age = (x − 29) years = (46 − 29) years = 17 years Baichung’s grandfather’s age = (x + 26) years = (46 + 26) years = 72 years |
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